从测量数据中提取古塔的变形信息

Deformative Information of Ancient Pagoda Extracted from Measured Data

出于文物保护,从大量的测量数据中提取古塔的变形信息,结合形心、质心、近心等概念,设计出确定古塔各层中心位置的通用算法,并给出了数据有缺陷时的补救措施。为了提取倾斜度信息,建立起空间直线的对称型拟合模型,提供了简单实用的目标函数及其初值优化的搜索方法。为了避免信息失真,构造出直接利用原始数据计算扭曲度的公式。经过深入剖析,厘清了某些流行算法的认识误区。

For the protection of cultural relics, deformative information of ancient pagoda is extracted from a large number of measured data. Combining concepts such as centroid, barycenter and pericenter, the paper designs the general algorithm to determine each layer center position of pagoda, and presents the remedial measures when data is flawed. In order to extract the gradient information, the author establishes symmetrical fitting model of space linear, and provides simple and practical objective function and method to search its initial value optimization. To avoid information distortion, a formula is conducted to calculate the distortion with raw data directly. After further analysis, misunderstanding is made clear in some popular algorithm.